# The Mega Test 01/ Mathematics

60 Questions | Total Attempts: 41  Settings  You sleep one third of your day and life. So one third of your marks will also be rested whenever you do mistakes

• 1.
1. What will be difference in population 3 years ago and 2 years ago of Devon village, whose current population is 100000 and which is increasing at a rate of 25% every year?
• A.

15250

• B.

13900

• C.

16400

• D.

12800

• 2.
2. Shamik had invested same amount of sums at simple as well as compound interest. The time period of both the sums was 2 years and rate of interest too was same 4% per annum. At the end, he found a difference of Rs. 50 in both the interests received. What were the sums invested?
• A.

32250

• B.

31250

• C.

30000

• D.

35750

• 3.
3. What will be the interest earned on sum of Rs. 5500 kept for 6 months at 25% interest rate compounded quarterly?
• A.

825

• B.

735.50

• C.

855

• D.

800

• 4.
4. Rs. 400 is simple interest for a sum for 4 years at 10% rate of interest per annum. Find the compound interest for the same sum at same rate of interest for same time period?
• A.

Rs 464

• B.

Rs 464.10

• C.

Rs 464.20

• D.

Rs 465

• 5.
5. A sum of money becomes Rs 13,380 in 3 years and Rs 20,070 in 6 years at compound interest. The initial sum is?
• A.

8900

• B.

8920

• C.

8940

• D.

9000

• 6.
6. The simple interest on a sum of money is 1/9 th of the principal and the number of years is equal to the rate percent per annum. The rate of interest per annum is __
• A.

31/%

• B.

21/%

• C.

4%

• D.

5%

• 7.
7. A sum doubles in 20 years at simple interest. How much is the rate per annum?
• A.

4%

• B.

5%

• C.

10%

• D.

12%

• 8.
8. A man invested 1/3rd of the sum at 7%, 1/4th at 8% and the remaining at 10% for one year. If the annual interest is Rs. 408, then the investment is
• A.

Rs 4800

• B.

Rs 5000

• C.

Rs 5600

• D.

Rs 8000

• 9.
9. A sum of money doubles itself at compound interest in 15 years. It will become 8 times in
• A.

30 years

• B.

40 years

• C.

45 years

• D.

60 years

• 10.
10. If the amounts for a fixed principal after 3 and 2 years at a certain rate of compound interest are in the ratio  21 : 20. The rate of interest is
• A.

4%

• B.

5%

• C.

6%

• D.

10%

• 11.
11. The difference in the interests received from two different banks on Rs. 1000 for 2 years is Rs. 20. Thus, the difference in their rates is
• A.

0.5%

• B.

1%

• C.

1.5%

• D.

2%

• 12.
12. A tank contains 18,000 litres of water. If it decreases at the rate of 5% a day, what will be the quantity of water after 2 days
• A.

15234 litres

• B.

16245 litres

• C.

17225 litres

• D.

17590 litres

• 13.
13. A merchant borrowed Rs. 2500 from the money lenders. For one loan he paid 12% per annum and for the other 14% per annum. The total interest paid for one year was Rs. 326. How much did he borrow at each rate?
• A.

1000 and 1500

• B.

1200 and 1300

• C.

1250 and 1250

• D.

1100 and 1400

• 14.
14. The difference between the compound interest and the simple interest on a certain sum at 10% per annum for two years is Rs. 60. Find the sum.
• A.

Rs 6000

• B.

Rs 6600

• C.

Rs 3000

• D.

Rs 3600

• 15.
15. What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?
• A.

Rs 1.02

• B.

Rs 2.04

• C.

Rs 3.06

• D.

Rs 4.08

• 16.
16. The lengths of sides of triangle are x cm,(x + 1) cm and (x + 2) cm, the value of x when triangle is right angled is
• A.

3 cm

• B.

4 cm

• C.

5 cm

• D.

6 cm

• 17.
17. Each side of square field ABCD is 50m long, the length of diagonal field is
• A.

45 m

• B.

23.7 m

• C.

50.5 m

• D.

70.7 m

• 18.
18. In a triangle with sides a,b and c, if a² = b² + c², then angle facing b is
• A.

Acute angle

• B.

Right angle

• C.

Obtuse angle

• D.

Can be either acute or obtuse

• 19.
19. If the sum of the squares of the legs of a right triangle are equal to 144, the hypotenuse is...
• A.

10

• B.

12

• C.

13

• D.

18

• 20.
20. In the evening, the shadow of an object is very long due to the low position of the Sun. A 20m high lamp post makes a 99m long shadow. What is the distance from the top of the pole to the top of its shadow?
• A.

89 m

• B.

97 m

• C.

101 m

• D.

119 m

• 21.
21. For the triangle it is given that AE2 + EB2 = 9 and BE2 + EC2 = 16 Find AC = ?
• A.

5

• B.

6

• C.

8

• D.

10

• 22.
22. Given that: SinA = a/b, then cosA = ?
• A.

Option 1

• B.

Option 2

• C.

B/a

• D.

0

• 23.
23. The value of (tan1° tan2° tan3° ... tan89°) is
• A.

0

• B.

1

• C.

√3

• D.

Undefined

• 24.
24. If sin A = 1/2 and cos B = 1/2, then A + B = ?
• A.

00

• B.

300

• C.

600

• D.

900

• 25.
25. If a pole 6m high casts a shadow 2√3 m long on the ground, then the sun’s elevation is
• A.

60

• B.

45

• C.

30

• D.

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